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Question: Two identical rooms (as sketched in Figure) are heated differently during wintertime by means of two heat sources of known heat flow rates q1 and q2. The

1540_Rooms.png

rooms have identical walls separating the conditioned space from the outside. Heat also flows through the wall separating the two rooms, which is different from the outside walls. Knowing the outside temperature is io, derive the mathematical model of this thermal system where the output amounts are the two room temperatures i1 and i2. Known are the thermal resistances of the outside walls Rth,o, the thermal resistance of the separating wall Rth, and the thermal capacitances of the two rooms Cth, as well as the outdoor temperature io and the two source heat flow rates q1 and q2.

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